{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise 1.4 (Page 8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import helper as hlp\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "    \n",
    "#设置随机种子，保证每次结果一致\n",
    "seed = 42\n",
    "rnd = np.random.RandomState(seed)\n",
    "N = 20\n",
    "d = 2\n",
    "a, b, c, X, y, s, w = hlp.f(N, d, rnd)\n",
    "hlp.plot_helper(a, b, c, X, y, s, w)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise 1.10 (Page 23)\n",
    "(b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.03764441914136553\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['font.sans-serif']=['SimHei'] #用来正常显示中文标签\n",
    "plt.rcParams['axes.unicode_minus']=False #用来正常显示负号\n",
    "\n",
    "#首先模拟一次实验的结果，n表示硬币数量，1表示正面，0表示反面，最后返回的结果为正面的数量\n",
    "def simu(n):\n",
    "    #n个硬币，每个硬币投10次\n",
    "    X = np.random.randint(0, 2, (n, 10))\n",
    "    #计算每个硬币正面的数量\n",
    "    X1 = np.sum(X, axis=1)\n",
    "    #第一个元素\n",
    "    y1 = X1[0]\n",
    "    #随机元素\n",
    "    y2 = X1[np.random.randint(0, n)]\n",
    "    #最小值\n",
    "    y3 = np.min(X1)\n",
    "    return y1, y2, y3\n",
    "\n",
    "#记录正面硬币得分的具体情况，存入一个长度为11的列表，第i个元素表示得分为i的次数\n",
    "Y1 = [0] * 11\n",
    "Y2 = [0] * 11\n",
    "Y3 = [0] * 11\n",
    "#硬币数量\n",
    "n = 1000\n",
    "#实验次数\n",
    "m = 10000\n",
    "for i in range(m):\n",
    "    y1, y2, y3 = simu(n)\n",
    "    Y1[y1] += 1\n",
    "    Y2[y2] += 1\n",
    "    Y3[y3] += 1\n",
    "    \n",
    "\n",
    "#计算正面的次数\n",
    "def total(x):\n",
    "    s = 0\n",
    "    for i in range(len(x)):\n",
    "        s += i*x[i]\n",
    "    return s\n",
    "#投硬币的总次数\n",
    "t = m * 10\n",
    "\n",
    "####(b)\n",
    "#作图\n",
    "plt.bar(range(11),Y1)\n",
    "plt.title(u'C 1平均正面比例'+str(total(Y1) / t))\n",
    "plt.show()\n",
    "\n",
    "plt.bar(range(11),Y2)\n",
    "plt.title(u'C rand平均正面比例'+str(total(Y2) / t))\n",
    "plt.show()\n",
    "\n",
    "plt.bar(range(11),Y3)\n",
    "plt.title(u'C min平均正面比例'+str(total(Y3) / t))\n",
    "plt.show()\n",
    "\n",
    "#数值计算结果\n",
    "from scipy.special import comb\n",
    "\n",
    "#P(v<=k),n表示一共几个硬币\n",
    "def f(k, n):\n",
    "    s = 0\n",
    "    for i in range(k+1, 11):\n",
    "        s += comb(10,i) / (2**10)\n",
    "    return 1- s ** n\n",
    "\n",
    "#P(v=k)\n",
    "def g(k, n):\n",
    "    return f(k, n) - f(k-1, n)\n",
    "\n",
    "def h(n):\n",
    "    s = 0\n",
    "    for k in range(11):\n",
    "        s += k / 10.0 * g(k, n)\n",
    "    return s\n",
    "\n",
    "print(h(1000))\n",
    "#0.03764441914136553\n",
    "\n",
    "####(c)\n",
    "epsilon = np.arange(0, 2, 0.01)\n",
    "size = epsilon.shape[0]\n",
    "\n",
    "Z1 = np.zeros(size)\n",
    "Z2 = np.zeros(size)\n",
    "Z3 = np.zeros(size)\n",
    "\n",
    "#计算P(|u-v|>epsilon)\n",
    "for i in range(size):\n",
    "    for j in range(11):\n",
    "        if abs((j - 5) / 10.0) > epsilon[i]:\n",
    "            Z1[i] += Y1[j]\n",
    "            Z2[i] += Y2[j]\n",
    "            Z3[i] += Y3[j]\n",
    "Z1 = Z1 / m\n",
    "Z2 = Z2 / m\n",
    "Z3 = Z3 / m\n",
    "\n",
    "#Hoeffding上界值\n",
    "Z = np.array([2 * np.exp(-2*(i**2)*10) for i in epsilon])\n",
    "\n",
    "#作图\n",
    "plt.plot(epsilon, Z, label=u\"Hoeffding上界\")\n",
    "plt.plot(epsilon, Z1, label=u\"P(|v1-u|)\")\n",
    "plt.plot(epsilon, Z2, label=u\"P(|vrand-u|)\")\n",
    "plt.plot(epsilon, Z3, label=u\"P(|vmin-u|)\")\n",
    "plt.xlabel(u'epsilon')\n",
    "plt.ylabel(u'概率')\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Problem 1.2 (Page 33)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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nQct4p2OJyJ8YYzKtte5TjQvaeX1r7U5r7bST/dAvzBgJXdVqNaDd4M/xxY8m7uhWak29iNRXh2giP5FiSG/6il8Zlwv3pXfAwHQWVTwPz4ZJbE5JYOX82U5HE5HToHKQgKgcdxbu+z9gQZeJlD2+l0YfX4l3Qn8O7t/rdDQRKQSVgwRU+/OvI+ZeH77YK0j6bQo7RndiyQ+fOh1LRE5B5SABV6FSVRIHvcHS7u9gcdH66z6kj+vDnl3ZTkcTkQKoHCRoWp1zKVUHZ+CtcQOdsj8jZ6ybBbOmOB1LRPKhcpCgKl22PEn9x7Pmyk/Y76pA+3n9yXz6KnZs23zqJ4tI0KgcxBFNOpxLrWFppNbrT5s9czDjE/F9OlFTcIiECJWDOCa6VAyeW1P49bqZbIusiTtzKItGXczWjaudjiZS4qkcxHH1W7hpPPxHvE0H0+TAAsq93Jm0aaM4fuyY09FESiyVg4SEiMhIkq7/NztvnsO6mGYkLnuc5Sld2bh6sdPRREoklYOElFoNW9Bq2HdktH2UOod/Ie7N8/C++TBHjxx2OppIiaJykJBjXC7ie97Dob6pLC8bT9Ivz7I25WzWLElzOppIiaFykJAVV7M+7QfPIDNhLFWObqPOe5fgffl+DuUccDqaSNhTOUhIMy4Xnf52KxF3pbOg0gUkbXqFLU8l8HPGLKejiYQ1lYMUC5ViaxB/3zQWdn2ZmOMHafrZNXjH38GBfbudjiYSllQOUqy0O+/vlLvfR0bcVSRtm8aup90snvux07FEwo7KQYqdchUqk3jXZJZdPJVjRNLm25tIH9ub3Tu3Ox1NJGyoHKTYapl0MXFDfaTWvImOO7/k8LNufpr5ltOxRMKCykGKtZjSZfH0fY51PT9lT0RlOvw4kPmjr2D71o1ORxMp1lQOEhYat+tM3WFevPUH0nrvD0S9mEjGRy9oIj+RM6RykLARFV2KpFueZMv137Alqh7xCx5k8VMXsnXDKqejiRQ7KgcJO/Watafp8HmkNR9O44OLKP9KZ9KmjtREfiKnIeDlYIx5xRiTaox56CRjKhpjvjDGzDTGTDfGRAc6l4Q3V0QEidf9k123fs8vpVuRuPw/rBjZhQ0rFzgdTaRYCGg5GGN6AhHWWg/Q0BjTpIChNwBjrLUXAluBiwOZS0qOmvWb0WboLDLaP0HNI+uo/vYFpL7+L44cPuR0NJGQFugjh2RgWu7yTKBzfoOsteOttV/nfhkHbMtvnDGmrzHGZ4zxZWVl+TurhCnjchF/5V0c6e9laTkPnrXPsz7Fw+qFPzgdTSRk+bUcjDETjTGzT9yAQcCJiwPvAKqf4vkeoLK11pvf49baSdZat7XWHRcX58/oUgLE1qhLxyGf8pNnHJWOZVP/w8tIfekecg7udzqaSMjxazlYa/tZa5NP3IBxQOnch8udbHvGmCrAc8Bt/swk8lcdLrqZqLt9zK98MZ7Nr7FtVDw/p810OpZISAn0aaVM/jiV1A5Yl9+g3Deg3wP+aa1dH+BMIlSsEkfCvVNYfN5koo4fpunn15L2wu3s37vL6WgiISHQ5fARcKMxZgxwLTDDGNPSGPP4X8bdDnQE/pV7SqpXgHOJANCma08qPOAjvdo1xG/7gD1Pu1k0+wOnY4k4zlhrA7sBYyoD3YG51tqt/lqv2+22Pp/PX6sT4ee0mZT+6j7qHd9ERsWLaXrTOCpWPenbZCLFjjEm01rrPtW4gH/OwVq701o7zZ/FIBIIzRMvpPqQdFJr3UqHXTM58lwC8798zelYIo7QJ6RF/iSmdFk8d4xl/dUz2BVRlY7ee5g/6jK2/6q3wqRkUTmI5KNR27OpP9xLasO7abXPS/QkD+nTn9NEflJiqBxEChAZFY3npsf47YZZbI6qT8LCh1iScj6/rlvhdDSRgFM5iJxC3abtaTb8e9JaPEjDnGVUmtwF75QnNZGfhDWVg0ghuCIiSOw1jL23z2N16bYkrUhh5cjOrP95vtPRRAJC5SByGmrUbUKboTPJ6PAfahzZwFlTuuN97UFN5CdhR+UgcpqMy0V8jzs52t/L4vKdSVr3AhtSElm9cJ7T0UT8RuUgcoZia9Sh0+CP+ensF6h4bCf1P7yc1ImDyDmwz+loIkVWqHIwxlxrjCkV6DAixVGHC/v8PpFflUvwbHmDrFHxLPN+6XQskSIp7JFDC+C73Cm5zwlkIJHiqGKVOBLueYfF3d4ggqO0/LIXac/fyt7dO5yOJnJGClUO1tpHrLVnA+8AbxhjVhljbgloMpFiqM25Paj0gA9vtV7EZ01n/zPxLPzuPadjiZy20zmt9BHwMJACJAEDAhlMpLgqU64iSXdOYuVl73PIVZp2c/5BxjN/Z9d2TS8mxUdhTyu1BO631p6fezW2bODWAOYSKfaax19AjaHpeGvfTvtd33D8+XgyP39FU3BIsRDwKbsDRVN2S3GyZkkax6bfSZNjq/mpzNnU7jOBuJr1nY4lJVDITNktItCwdSINhqfibXwvLfZnUGqSh/QPxuooQkKWykEkSCKjoknq8whZN37HpuhGJCwewdKU89i8ZrnT0UTyUDmIBFmdxm1oPmwOaS0fon7OCiq/3hXvO49x7OhRp6OJ/JfKQcQBrogIEq8dwr5/zGNVmXYkrRzN6pHnsH55ptPRRACVg4ijatRpTNshX+Hr9BTVjm7mrHcvJHXyMA4fynE6mpRwKgcRhxmXC/fl/bB3prG4wrl41r/IppREVv001+loUoKpHERCRJVqtej0wHQWnDOBcsf30PCjK/C+eKcm8hNHqBxEQkz77tcTc6+PzKqXkbT1bbaPcrP0x8+djiUlTMDLwRjzijEm1RjzUCHGVjfG/BToTCKhrkKlqiTc/RZLLngTw3FazexN2nM3ayI/CZqAloMxpicQYa31AA2NMU1O8ZTRQOlAZhIpTlp3voIqgzPxVu+Ne/vHHHjGzcJv33U6lpQAgT5ySAam5S7PBDoXNNAY0w3YD2h2MpE/KV22PEkDXuSXHh9xwFWOdnP74RtzNTuztjgdTcKYX8sh93oPs0/cgEHA5tyHdwDVC3heNPBvYPgp1t/XGOMzxviysrL8mFwk9DXtmEytYemk1u1L293fwQsJ+Ga8pCk4JCD8Wg7W2n7W2uQTN2Acf5wmKneS7Q0Hxltrd51i/ZOstW5rrTsuLs5vuUWKi+hSMXhuG8XmXl+RFVkDd8ZgFoy+lG2b1zodTcJMoE8rZfLHqaR2wLoCxl0ADMw92mhvjHk5wLlEirUGLeNpNDwVb5P7ab7fR+lJHtLfH6OjCPGbgE7ZbYypAHwPfANcwu8XCaoFXG+tzfevl4wxs3OPOk5KU3aL/G7zmqXsencArQ4vZGl0OypdN4FaDVs5HUtCVGGn7A749RyMMZWB7sBca63f3mxWOYj8wR4/Tsb0Z2mxKIVIjrGw6V3E9/oXEZGRTkeTEBMy13Ow1u601k7zZzGIyP8yLhcJV9/Hwb6prCjbiaRVY/hlpIe1yzKcjibFlD4hLRJGqtVqQLvBn+OLH03s0a3UmnoRqa8O0UR+ctpUDiJhxrhcuC+9AzMwnUUVz8OzYRKbUxJYOX+209GkGFE5iISpynFn4b7/AxaeO5Eyx/fR6OMr8U7oz8H9e52OJsWAykEkzLXrdh1l7vPhi+1B0m9T2DG6E0t++NTpWBLiVA4iJUD5ilVIHPQ6Sy+cgsVF66/7kD6uD3t2ZTsdTUKUykGkBGl19t+oOjgDb40b6JT9GTlj3SyYNcXpWBKCVA4iJUzpsuVJ6j+eNVd+wn5XBdrP60/m01eR/dsmp6NJCFE5iJRQTTqcS61haaTW60+bPXNxTUjC98mLmoJDAJWDSIkWXSoGz60pbLluJtsia+GeP4xFoy5m68bVTkcTh6kcRIR6LTrRePgPeJsOocmBBZR7uTNp00Zx/Ngxp6OJQ1QOIgJARGQkSdc/xK5b5rI2pjmJyx7n55SubFy92Olo4gCVg4j8j5oNmtN62LdktH2U2od/Ie7N8/C+8W+OHjnsdDQJIpWDiORhXC7ie97Dob6pLC+bQNKacawd6eGXxV6no0mQqBxEpEBxNevTfvBnzE8cS5VjWdR9/2+kvnwfh3IOOB1NAkzlICInZVwuOl5yKxF3pbOg0gV4Nr3K1qcS+DljltPRJIBUDiJSKJViaxB/3zQWdX2FUsdzaPrZNXjH38H+vSe99LsUUyoHETktbc+7hnL3Z5ARdxVJ26axe0w8i+dOdzqW+JnKQUROW7kKlUm8azLLLp7KMSJp8+0tpI/tze4dWU5HEz9ROYjIGWuZdDFxQ32k1ryJjju/5Mg4N/O/etPpWOIHKgcRKZKY0mXx9H2OdT0/ZXdEFTqm3sX80VewfetGp6NJEagcRMQvGrfrTN1hXlIbDKTV3h+JejGRjI9e0ER+xZTKQUT8Jiq6FJ6bn2Tr9bPYElWP+AUPsvip7mxZv8LpaHKaAl4OxphXjDGpxpiHCjF2vDHm8kBnEpHAqtesPU2HzyOt+XAaH1xMhVfPJW3qSE3kV4wEtByMMT2BCGutB2hojGlykrFdgBrWWl3cViQMuCIiSLzun+y69Xt+Kd2KxOX/YcXILmxYucDpaFIIgT5ySAam5S7PBDrnN8gYEwW8BKwzxvQIcCYRCaKa9ZvRZugsMto/Qc0j66j+9gWkvv4vjhw+5HQ0OQm/loMxZqIxZvaJGzAI2Jz78A6gegFPvQlYBjwFJBhjBhWw/r7GGJ8xxpeVpb+nFikujMtF/JV3caS/l6XlPXjWPs/6FA+rF/7gdDQpgF/LwVrbz1qbfOIGjANK5z5c7iTb6wBMstZuBd4Czitg/ZOstW5rrTsuLs6f0UUkCGJr1KXj4E/5yTOOSseyqf/hZaS+dA85B/c7HU3+ItCnlTL541RSO2BdAeNWAw1zl93A+sDGEhEndbjoZqLu9jG/8sV4Nr/GtlHx/Jw20+lY8ifGWhu4lRtTAfge+Aa4BEgCagHXW2sf+tO48sCr/H7aKQq4xlq7Oe8a/+B2u63P5wtUdBEJksVzPiT2u6FUt9vJiOtJq5ueplyFyk7HClvGmExrrfuU4wJZDrlBKgPdgbm5p438QuUgEj72793F4jcGk7DtfbaZWLYlp9A2+WqnY4WlwpZDwD/nYK3daa2d5s9iEJHwUrZ8JZIGvszKS9/jkKsUbWffRsYzvdid/ZvT0UosfUJaREJG84TuVB+STmqtW2m/62uOPJfA/C8mOx2rRFI5iEhIiSldFs8dY9lw9WfsiqhKx7R7mT/qMrb/qr9TCSaVg4iEpEZtz6b+cC+pDe+m1T4v0ZM8pE8fp4n8gkTlICIhKzIqGs9Nj7GtzzdsimpAwsJ/syTlfH5dp4n8Ak3lICIhr06TdjQfPpe0Fg/SMGcZlSZ3wTvlCY4dPep0tLClchCRYsEVEUFir2HsvX0eq0u3JWnFU6xK6cL6n+c7HS0sqRxEpFipUbcJbYbOJKPDf6hxZANnTelO6mvDNZGfn6kcRKTYMS4X8T3u5Gh/L4vLd8azbgIbUhJZteB7p6OFDZWDiBRbsTXq0Gnwx/x09gtUOLaLBtOvIHXiIHIO7HM6WrGnchCRYq/DhX2IvsfH/CqX4NnyBlmj4lmW+oXTsYo1lYOIhIWKlWNJuOcdlpz/BhEco+VX15H2/K3s3b3D6WjFkspBRMJK6y49qPRABt5qvYjPms7+Z+JZ+N17TscqdlQOIhJ2ypSrSNKdk1h5+QfkuErTbs4/yHjm7+zarvk/C0vlICJhq7n7fM4amk5qnX/Qftc3HH8+nszPX9EUHIWgchCRsFYqpgye259m49+/IDuyOp3S72fB6EvJ+nWd09FCmspBREqEhq0TaTDsR7yN76XF/gxKTfKQ/sFYHUUUQOUgIiVGZFQ0SX0eYfuNs9kY3YiExSNYmnIem9csdzpayFE5iEiJU7txa1oMm0Naq39TP2cFlV/vivedxzSR35+oHESkRHJFRJD498Hsv+MHVpVpT9LK0aweeTbrluva9KByEJESrnrtRrQd8iW+Tk9R7eiv1Hz3QlInD+PwoRynozlK5SAiJZ5xuXBf3g97ZxqLK3TFs/5FNqcksnL+HKejOUblICJTcs3bAAAJBklEQVSSq0q1WnR6YDoLOr9I2eN7aPRxD7wv3snB/XudjhZ0KgcRkb9of0FvYu714at6OUlb3yZ7dDxLf5jhdKygCng5GGNeMcakGmMeOsmYysaYz40xPmPMxEBnEhE5lQqVqpJ495ss6f4WYGn19fWkPXcTe3ZlOx0tKAJaDsaYnkCEtdYDNDTGNClg6I3A29ZaN1DeGOMOZC4RkcJqfc7lVB3sw1u9N+7tn5Az1s2Cb951OlbABfrIIRmYlrs8E+hcwLhsoLUxphJQB9iY3yBjTN/cowtfVlaWv7OKiOSrdNnyJA14kV96fMR+V3naf98P35ir2bFts9PRAsav5WCMmWiMmX3iBgwCTuy9HUD1Ap46D6gH3A0szx2bh7V2krXWba11x8XF+TO6iMgpNe2YTK1h6aTW7Ufb3d9hxifh+2xSWE7B4ddysNb2s9Ymn7gB44DSuQ+XO8n2RgD9rbWPAj8Dt/ozl4iIv0SXisFz21Ns7vUVWZE1cPuGsHDUJfy26Reno/lVoE8rZfLHqaR2wLoCxlUG2hhjIoBEwAY4l4hIkTRoGU+j4al4mzxAswPzKfPSOaS99zTHjx1zOppfBLocPgJuNMaMAa4FZhhjWhpjHv/LuP8Ak4DdQBVgSoBziYgUWURkJEk3PMyOm2ezPqYZiUsfZXlKMptWL3E6WpEZawP7S7oxpjLQHZhrrfXbZZjcbrf1+TQHioiEBnv8OBnTn6XFohSiOMqCJgNx9/oXkVHRTkf7H8aYzNy/DD2pgH/OwVq701o7zZ/FICISaozLRcLV93GwbyrLy8aTtHosa1LOYe3SNKejnRF9QlpExI+q1WpA+8EzyIx/mtijW6k97RJSX3mAQzkHnI52WlQOIiJ+ZlwuOl36D8zAdBZW7IZn48tseSqRFb5vnY5WaCoHEZEAqRx3Fu7732fhuS9R+vh+mnzaE++EfhzYt9vpaKekchARCbB23a6lzH0+MmJ7kPTbu+x6Op4l33/sdKyTUjmIiARB+YpVSBz0OssuepdjRND6m5tIf/YGdu/c7nS0fKkcRESCqKXnEuKGZJB6Vh867ZjB4Wfd/DTzLadj5aFyEBEJspgy5fD0e4E1V37CXldFOvw4kMynryT7t01OR/svlYOIiEOadDiXOsPTSa0/gDZ7vidiQiK+TyaExER+KgcREQdFRZfCc8tItvT+mq2RdXDPH86ipy5k64ZVjuZSOYiIhIB6zTvSZPg8vM2G0uTgIsq/0pm0aU85NpGfykFEJEREREaS1Ptf7LplLmtiWpC47Al+HnkuG1ctDHoWlYOISIip2aA5rYd9S3q7x6h9ZC1xb52P941/c/TI4aBlUDmIiIQg43KRcNXdHO6byvJyiSStGce6kUn8stgblO2rHEREQlhszXp0GDKD+UnPUulYNnXf/xvedx4L+HZVDiIixUDHi28halA6Cyp1J6Za44BvLzLgWxAREb+oWLU68fdNDcq2dOQgIiJ5qBxERCQPlYOIiOShchARkTxUDiIikofKQURE8lA5iIhIHioHERHJw1hrnc5wRowxWcD6M3x6LBCaF279Xajng9DPqHxFo3xFE8r56llr4041qNiWQ1EYY3zWWrfTOQoS6vkg9DMqX9EoX9GEer7C0GklERHJQ+UgIiJ5lNRymOR0gFMI9XwQ+hmVr2iUr2hCPd8plcj3HERE5ORK6pGDiIichMpBRETyCNtyMMZUN8Z8f4oxUcaYT40xPxhjbivovgDle8UYk2qMeegkYwYYY2bn3hYYYyYaYyKNMRv+dH8bB/Plm8UY84gxJsMY80Igsp1GvorGmC+MMTONMdONMdHB2H+FzJZnTGGeF4x8Tu2308jn2OuukPkc+771p7AsB2NMZeB1oOwphg4CMq215wDXGGPKF3Cfv/P1BCKstR6goTGmSX7jrLUTrLXJ1tpk4HvgJaAtMOXE/dbaxU7lyy+LMaYT0BlIALYZYy5wMN8NwBhr7YXAVuDi/DIHO1t+Y07j3xTwfDiw304znyOvu8Lmc+r71t/CshyAY0AvYM8pxiUD03KX5wLuAu7ztz9vYya/v6gLZIypBVS31vqAJOAyY0x67m8wgbjUa2Hz5ZelK/CB/f0vHb4CujiVz1o73lr7de6XccC2AjIHO1t+YwrzvKDkc2i/FTpfAVmC8borbD7Ake9bvwqLcsg9bDtxuDYbuNdau7sQTy0LbM5d3gFUL+A+f+cbdJrbGAhMyF3OAC6w1iYAUcDfHMyXX5aQ23/GGA9Q2VrrLSCzPxXm3x+U110R8gFB32+nky8or7si5DshoN+3gRby7VUY1tp+Z/jUfUBpYDdQLvfr/O7zaz5jzLO52yB3GwWWtDHGBZwH/Cv3rkXW2kO5yz6gyKcfipAvvywn9t+pnhuMfBhjqgDPAVefJLM/Febfn98Yv++3IuRzYr+dTr6gvO6KkC8o37eBFhZHDkWQyR+Hhe2AdQXcF4ztFqQLkGb/+EDKm8aYdsaYCOBKYKGD+fLLEjL7zxgTDbwH/NNae2KSxkDvv8Jkc+p1V6h8Du23QucrIEvI7L9cTnzf+pe1NmxvwOw/LXcD7vrL4/WApcCz/H7YF5HffQHIVYHfXxxjgOVARaAl8Hg+Y58Eev7p69bAImAx8ESA9luh8uWXhd9/4fghd/+tABo4mG8AsBOYnXvrFej9l0+2dvnkyi9/nvuC9H+bX76g77fTzOfI666w+XLHBf371t+3Ev8JaWNMTX7/TeArm/s+RX73BWC7lYHuwFxr7dZAbKMoipLPGFMauBSYb61dE2r5Aq0w2fIbE6x/UyjvOzjzfMF43RUlX3FT4stBRETyKunvOYiISD5UDiIikofKQURE8lA5iIhIHioHET8xxnQ2xrxnjHHlTsxWx+lMImdKf60k4kfGmMnAQWC9tTbF6TwiZ0rlIOJHxhg3kArEWWt3OZ1H5EypHET8yBjzEb9/ErastfYBp/OInCm95yDiJ8aYa4BfrbUPA62MMR2dziRypnTkICIieejIQURE8lA5iIhIHioHERHJQ+UgIiJ5qBxERCQPlYOIiOShchARkTz+H7yQS5u3L6zAAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "x = np.arange(-1, 1, 0.1)\n",
    "y1 = np.array([-1/3 - 2/3 * i for i in x])\n",
    "y2 = np.array([-1/3 - 2/3 * i for i in x])\n",
    "plt.plot(x, y1, label='w=[1,2,3]T')\n",
    "plt.plot(x, y2, label='w=-[1,2,3]T')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Problem 1.4 (Page 34)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(a)(b)(c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# -*- coding: utf-8 -*-\n",
    "\"\"\"\n",
    "Created on Tue Feb 12 11:41:30 2019\n",
    "\n",
    "@author: qinzhen\n",
    "\"\"\"\n",
    "import helper as hlp\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "#设置随机种子，保证每次结果一致\n",
    "seed = 42\n",
    "rnd = np.random.RandomState(seed)\n",
    "\n",
    "#(a)(b)(c)\n",
    "N = 20\n",
    "d = 2\n",
    "a, b, c, X, y, s, w = hlp.f(N, d, rnd)\n",
    "hlp.plot_helper(a, b, c, X, y, s, w)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(d)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#(d)\n",
    "N = 100\n",
    "a, b, c, X, y, s, w = hlp.f(N, d, rnd)\n",
    "hlp.plot_helper(a, b, c, X, y, s, w)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#(e)\n",
    "N = 1000\n",
    "a, b, c, X, y, s, w = hlp.f(N, d, rnd)\n",
    "hlp.plot_helper(a, b, c, X, y, s, w)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "迭代次数为430\n"
     ]
    }
   ],
   "source": [
    "#(f)\n",
    "#修改数据维度\n",
    "N = 1000\n",
    "d = 10\n",
    "a, b, c, X, y, s, w = hlp.f(N, d, rnd)\n",
    "print(\"迭代次数为\" + str(s))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(g)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Anaconda3\\lib\\site-packages\\matplotlib\\axes\\_axes.py:6521: MatplotlibDeprecationWarning: \n",
      "The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n",
      "  alternative=\"'density'\", removal=\"3.1\")\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#(g)\n",
    "res = []\n",
    "for i in range(100):\n",
    "    a, b, c, X, y, s, w = hlp.f(N, d, rnd, r=0)\n",
    "    res.append(s)\n",
    "plt.hist(res, normed=True)\n",
    "plt.xlabel(\"迭代次数\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Problem 1.5 (Page 35)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n为1时错误率为0.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n为0.1时错误率为0.0127\n"
     ]
    },
    {
     "data": {
      "image/png": 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spsEqi2XXelYHQq7y8cpDrPn3HCUKePDSQ9Xo36giedyyaMKPs3usNbPO7oYaXawehIXLZU3eSqkczxmDlVNOt5RRNUsX4suBDVk8tBlVSuRn/G/7aP/Jen7bfZr4rBhYXKYOPPsndHwXgtZZa2Ztm61rZimVG+g1zyRpsEpBg0rFWPh8U+YOakR+Dzde+mE33aZuxP/A+cwfWOzqBs1HWGtmlW8Iy8fA3M5w/kDm5quUyl46rixJ2gyYSvHxwtI9Z5i06hAnwq7TuHIxxnX2pmHlLOgEIQJ//wArX4OocGg9BlqOAjePzM9bKZW17HDN0xmbATVYpVF0bDwLA08y5c/DhF6Lov39JRnTyZuapQtlfubhoVbA2vsjeNWEHlOgYpPMz1cpZ5ORgJADOtA4Y7DSZsA0yuPmwlNNK7F+rC9jO3mzNTiMLpM3MGrhbk6GZfKg3gJe8MiX8PiPEB0BX3WCZWMg8mrm5quUs8lIU5s202ULrVll0OXr0cxcH8TcTcHEi/B444q82K46XgUzuYkuKhzWvgtbZ0KhstDtE2stLaXUvWnNKsfRYGUnIVcimbL2MAu3n8TDzYXBLe/judZVKOTpnrkZnwq0urmf32+NyeriZ61arJTKtTRYZbGcFKwSBF+I4ONVB1m25yxF8rkz3LcaTzWrhKe7a+ZlGhttTdcU4Afu+aDTe1D3CR1MrFQupcEqi+XEYJXgn9NX8Ft5kIBDoZQp7MlLD1Xn0QblcXPNxMuEoYesKZtO/AX3tYYek6FYlczLTynlkDRYZbGcHKwSbD56Eb+VB9h14jJVvPIzpqM3XR4sjcmsWk98POycB6vfgrho8H0Nmr1ojdtSSuUKzhistDdgJmtWtTg/D23OrKca4GoMw77bSc9pm9h4OJNGp7u4QMP/wPCtUK09rHkLZreFM7szJz970BH7jkFfB+XANFjZwb0+48YYOj5QmhUvt+bjvj6ERUTz5JytPD57C7tPXs6cQhUqC499B/3mQ/h5K2CteiNja2Zl1peZdgV2DIlfBw1cWUfPdapo25AdJHzGIeUVIVxdDI82KE8PnzJ8t+UE0/2P0Hv6Jjo/UJoxnWpQrWRB+xeuVk/r+tWat6zZ3P9dCt0/g6pt036s1P6jaZWwtLkuGZ+9Er8OmfVaq7vpuU4VvWZlB+kddhEeFcucDcHMCjjKjZg4Hqlfnpc71KBckbyZU9BjG60OGBePgM/jVq/BtKyZlQPGlzi9rHoN9LXOOplwrp3xmpUGKwdwMTyKz9cdZf7m4wA81awSw9tWo1j+TFj8MSYSAibCps/Aswh0+QgefES7uecU9lzYUQOS03LGYJXua1bGmDnGmM3GmDeSed7NGHPCGLPOdqtt2/62MWa7MWZ6evN2NsULeDC+ey38x/rSs25Z5m4KprWfP5PXHCY8Kta+mbl7wkPjYch6KFIRFg+GBf3h8kn75qMyx6BBVqCyR5OpXitUOUi6albGmD5ATxF5xhjzFfCBiBy+I019oL+IvJpoWwPAD2gPvAlsEpE1yeWTW2pWdzp87hofrzrIyn3nKJ4/Dy+2q8bjTSri4WbngcXxcbD1C1j7DhgXeOhNaPQsuGTiAGZ1u+ys3WjNymlpzeoWX2CR7f4qoGUSaZoC3Y0x22y1MDegDbBYrAi5EmiVzvydWvVSBfniqYb8Mqw5NUoV5O2l+2n38Xp+2nGKOHsu/ujiCs2GwbAtULEp/DEO5nSEc/vtl4dKWXbWbkqUsJoSNVBpj7wcIL3BKj9w2nY/DCiVRJrtQHsRaQy4A11Ts58xZogxJtAYExgaGprO4jmHehWLsuC5Jswf3Jii+d0Z8+PfdJkcwKp9IfZd/LFoJXjiJ+jzJVwKhi9aw9r3IDbKfnmopNmzWS+3skeg0SZRh5feYBUOJHRZK5DMcfaIyFnb/UCgemr2E5FZItJQRBp6eXmls3jOwxhDq+peLBnekumP1yc2Thgyfwd9ZvzFlqCL9swI6vSF4dutDhcBfjCzJRzfbL881N3sVbvJzTUDewQa/dHg8NIbrHZwq+nPBziWRJr5xhgfY4wr0Bv4O5X7qSS4uBi61SnDqlGt+bBPbc5ejuSxWVsY+NU2/jl9xX4Z5S8Ofb6AJxdDbCTM7Qy/j4JIO+ah7C831wzsEWi0SdThpbeDRSFgA/An0AV4DOgrIm8kSvMgsAAwwBIR+Z8xxsW2XyDQGegsIsHJ5ZNbO1ikRmRMHN9sPsZ0/6NcuRFDD5+yjO5Qg8ol8tsvk+gI8H8ftnwOBUpBt0lQs5v9jq/sRztLqEScsYNFusdZGWOKAh2AABEJScN+eYFuwE4RCUoprQare7tyI4bZAUHM2RhMTFw8/RtVYORD1SlVyNN+mZzeAUtGwrl/oFYva82sgqXtd3yllF1psMpiGqxS7/y1SKatPcKCrSdwczUManEfL7SuSuF8dlr8MS4G/poC6z4CN0/o+A7Uf1oHEzsDrZU5HWcMVjqRrZMoWdCTCb0eZO1oX7o8WIaZ64/Sym8tM9Yd5UZ0XMYzcHWHVqNh6F9Qpg4sHQnzusOFIxk/dmbL7M4HOb1zQ26+3pUSe7yuOf294UA0WDmZisXz8Wn/uiwf2YpGlYvx0YoDtJnoz7dbjhMTF5/xDEpUg4FLoedUCNkLM5rDhklWzctRZfaXcU7/steecEmzx+ua098bDkSbAZ3c9mNhfPTHAQKPX6Jy8Xy80tGb7rXL4OJih+a7ayHWQOL9v0GpB6HnFCjXIOPHtbfMbubSZjTnZI/XNZveG87YDKjBKhcQEfwPnsdvxUEOhFyjVplCjOvsTZsaXvZZsfjAMlg2GsLPQZOh0O5/kMeOvRKVUmmiwSqLabCyr/h4YemeM0xadYgTYddpcl8xxnWuSYNKRTN+8MgrsOZtCJxjTZDb/VNrpWKlVJbTYJXFNFhljujYeBZuP8HkP49wITyKDrVKMbaTNzVK2WHxx+Obrc4XFw5Bnceg0/vWQGOlVJbRYJXFNFhlruvRsczddIyZ644SHh3Lw/XKMap9DSoUy5exA8dEWp0uNn4KnoWg84dQu692c8/N9LpelnLGYKW9AXOxfHncGN62GgHj2jKkVRWW7TlLu0nr+L8l+7gQnoFJbN09retWzwdAsSrw83Pw7SNw6bj9Cq9yFu0VpzJIa1bqprNXbjDlz8MsCjyFh5sLz7aqwnOt7qOgZwYGFsfHwfY58OfbIPHQbjw0eV7XzMpttGaVpZyxZqXBSt0lKDScSasPsWzPWYrmc2d422o82bQSnu4ZCDCXT8KyV+DwKihb3xqnVfpB+xXaGegXurITZwxW2gyo7lLFqwDTH6/P0hdb8mC5wry77F/afbyORdtPEpvegcVFKsDji+CROXD5BMxqA39OsK5v5TbJzWqgTWVKJUuDlUpW7fKFmT+4CQuebYJXIU/GLd5Dp88CWPHP2fQt/mgM1H4UXtwOdfpbnTBmtoBjG+1feEeWXFDSmSSUSpY2A6pUERFW7jvHx6sOcuR8OD7lC/Nq55o0r5aB5qqj/rD0Jbh8HOoPhA4TIG8R+xXaUTlyc58jl02lmjM2A2qwUmkSFy/8vPMUn64+xJkrkbSsVoJxnb2pUz6dQSb6Oqz7ADZPg/wloetEqNXTvoVWqTdxolXr8/OzFiNUOZIGqyymwcpxRcbE8d3WE0z3P0JYRDRda5dmdEdvqnoVSN8Bz+yGJSMgZA/U7G4FrUJl7VtodW9as3IKGqwS72jMHKAWsExE3k3i+cLAD4ArEAH0B+KBINsNYISI7E0uDw1Wju9aZAxfbgjmyw1BRMbG07dBeV5qX50yhfOm/WBxsbBlurU6sWse6PA21H8GXPTSqlJp4YzBKl3fAsaYPoCriDQDqhhjqieR7AngExHpCIRgLWNfB/heRHxtt2QDVWbR5WXsq6CnO6M61GD9uLYMbFaZn3eeps3Edby3bD+XIqLTdjBXN2jxkrVmVtm68PsomNcNQg9lTuGVUjlGen+y+gKLbPdXAS3vTCAin4vIattDL+A80BTobozZZoyZY4xxS2f+6aa9gzNHiQIevNmjFmvHtKGnT1nmbAymtZ8/U/88TERUbNoOVrwqPL0Eek2H8/utHoPrJ0JsGoOfUspppDdY5QdO2+6HAaWSS2iMaQYUFZEtwHagvYg0BtyBrkmkH2KMCTTGBIaGhqazeMnT3sGZq3zRfHzc14cVL7emWdXiTFp9iDYT/fn6r2NEx6ZhjJYxUO9Jq5t7ze7g/641NuuUNgsrlRul65qVMWYyVnPeFluTYE0ReT+JdMWwal6PiMhxY4yHiETZnhsJuIvIpOTy0WtWOd/OE5f46I8DbA0Oo3zRvIzuWIOePuVwTevijwf/sNbMunrGmq6p3RvgYYdZ4pVyQnrN6pYd3Gr68wGO3ZnAGJMH+BF4TUQSZjCdb4zxMca4Ar2Bv9OZv8oh6lcsyg9DmjJvUCMK53Vn1MK/6TZlA3/+ey5tA4u9u8CwLdD4Odj6BXzeDA6tyryCq4zRi8MWPQ92k95g9SvwlDHmE6AfsM8Yc2ePwMFAfeB/xph1xpj+wARgPrAb2Cwia9KZv8pBjDH4epdk6YstmTqgHpExcQz+OpBHZ25mW3BY6g/kWcjq0v6fldZKxAv6wk+DIdz+zcUqg/TisEXPg91kpOt6UaADECAiIXYtlY02AzqnmLh4FgWeZPKaw5y/FkVbby/GdqpJrbKFUn+Q2CjY+BkETASPAtYijz4DdM0sR5GTxmtlZlmz6Tw4YzOgDgpW2eZGdBxfbz7G5/5HuBoZS6+6ZXmlQw0qFc+f+oOcP2CtTHxyK1Txhe6fQbH7MqnEyik54awdGqyymAar3OHK9Ri+CDjKV5uCiY0THmtcgZHtqlOykGfqDhAfD4FzYM3bEB9rLfzYZKg1bkupe8lJtcBU0mCVxTRYJc0JP1sAnL8ayZS1h/lh20ncXA3/aXEfz7epSuG8qVz88cppq8fgoT+gTF1rzawydTK30Eo5IGcMVjqPTQ7krNdsSxby5N3etVnzShs61irN5+uO0trPn5nrj3IjOu7eByhcDgZ8D33nWV3cZ/nC6rcg5kZmF10plcm0ZpUDOWvN6k77zlzh45UH8T8YSqlCHrz0UA36NiyPu2sqfmPduASrxsOu+VCsCvSYDPe1zvxCK+UAnLFmpcFKObytQRfxW3mQHccvUbl4PkZ39KZb7TK4pGZgcdB6a82sS8HWjBgd34W8RTO/0EplI2cMVtoMqNIsq8c5NqlSnJ9eaMaXTzfEw82VEd/vose0jaw/FHrvgcVV2sCwzdDiZdj9PUxrDPt+AQf+kaaUupsGK5Vm2XHNzBhD+1qlWP5SKz7t78OVGzEM/GobA2ZvYeeJSynv7J7XWm5kiL+1RtaPz8APj1sdMpRSOYI2A6o0c4RrZlGxcfyw7SRT1x7mQng0HWuVYmwnb6qXusd8gXGxsHUGrH0PXNyg/VvQcLCumaWcijM2A2qwUjlaRFQsX20MZlZAEBHRsfSpX56X21enfNF8Ke8YFmytlxXkDxWaQs8p4OWdNYVWKpNpsMpiGqxUaoVFRDNj3RG+3nwcBJ5sWonhbatSvIBH8juJwN8/wMrXIDoCWo2GlqPALYV9lGNyhOq+A3HGYKVtH8opFMufh/91q8W6Mb48XK8c8/6yFn/8bM0hwpNb/NEYqDsAhm+H+3vCug/gi9ZwclvWFl5lnLMOPlQ3ac1KOaUj58P5ZPVBlu8NoVj+PAxvW40nm1bEw801+Z0OrbKaBq+etpYieehNXTMrp9Ca1W2csWalwUo5tb9PXmbiyoNsPHKBckXy8nL76vSpXz75xR+jrsHad601swqVhW6fgHfnrC20UhmkwSqLabBS9rLx8AX8Vh5gz6krVC9ZgDGdvOlYqxQmuSVFTm6HJSMg9F94oA90+QgKlMzaQiuVThqsspgGK2VPIsLKfSH4rTxIUGgEdSsU4dXONWlWtXjSO8RGw6bJEOAH7vmg03tQ9wldM0s5PGcMVtrBQuUaxhg6P1iGVS+3xu+ROpy7GsmA2Vt4as5W9p66cvcObnmgzVh4YROUrAW/DYdvekFYUNYXXuUeWT1FTA6R7mBljJljjNlt+it2AAAgAElEQVRsjHkjLWlSs59SmcnN1YV+jSrgP8aXN7rdzz+nr9Bj2kaGL9hJUGj43Tt41YBnlkH3T+HMLvi8ubVKcVwyvQyVygjt2ZikdAUrY0wfwFVEmgFVjDHVU5MmNfs5Mv3B41w83V15tlUV1o9ry8h21fA/cJ4Onwbw2s97CbkSeXtiFxdo+B8YvhWqPQRr3oLZbeHM7uwpvHJegwZZqxYPGpTdJXEo6a1Z+QKLbPdXAS1TmSY1+zks/cHjnAp5uvNKR2/Wj23LU00r8dOOk7SZ6M8Hy//l8vXoOxKXhce+g37zIfwczG5nLUUSfT17Cp+T6K+91ClRAsaO1S74d0hvsMoPJMwCGgaUSmWae+5njBlijAk0xgSGhoams3iZQ3/wODevgh78X88HWDval251yjBrQxCt/PyZ7n+E69F3NPnV6gnDt1nLjvw1BWY0g6B12VLuHEN/7akMSG+wCgfy2u4XSOY4SaW5534iMktEGopIQy8vr3QWL3PoDx7HZc8f7RWK5eOTfnVZ8VJrmtxXnIkrD9Labx3zNx8jOjb+VsK8Raw5BQf+DsbV6nzx6zC4HpbxQjgj/bWnMiC9wWoHt5rwfIBjqUyTmv2USrPM+NHuXbogXw5syOKhzanilZ/xv+2j/Sfr+XXXaeLjEw35uK8VDN1kzS24ZyFMbwx7f9I1s+6kv/ZUBqRrnJUxphCwAfgT6AI8BvQVkTdSSNMUkDu3iUgSfYYtOs5KpVZmz7YjIqw7FMrEFQfZf/YqNUsXZFxnb9p6l7x9YHHIXlgyEs7shOqdoNskKFLB/gVSKgXOOM4q3YOCjTFFgQ5AgIiEpDZNavZL4AjBKjunHNPpzhxPfLzw+96zTFp1kOMXr9OoclHGda5Jo8rFEiWKs6ZrWvsOGBdrjsFGz4JLCvMSKmVHzhis0j3OSkQuiciilAJOUmlSs58jyc5rwno92vG4uBh6+pRlzStteLf3gxy7eJ2+MzczeN52/j171ZbIFZoNg2FboEIT+GMcfNUJzv+bvYVXKgfT6ZbuQWtWKiU3ouOY+1cwM9cd5VpULL18yvJKB28qFrct/igCexbBiv9ak+S2esW6tqVrZqlM5Iw1Kw1WWUCDjuPIrNfiyvUYZgYcZe6mYOLihQGNK/Jiu2qULOhpJYi4ACtftzpglKgBPadCxab2K4BSiThjsNK5AbOANuc5jsx6LQrnc+fVzjVZP7Yt/RpW4LutJ2jjt46PVx7kamQM5C8BfWbBk4shJtJqFvz9FYhMtn+RUioRrVllAa1ZOY6sei2CL0TwyepDLP37DEXyuTO0TVUGNq+Mp7srRIWD//uwdQYUKGX1GKzZLfMKo7JPNn34nbFmpcFKqUz0z+krTFx5kPWHQildyJOX2lenb4PyuLm6wKkd1ppZ5/dBrV7QZSIUTGoyGJVjTZxoVeX9/KwxZllEg1UWc/RgpTUmlVpbgi7it+IAO09cpkqJ/Izu6E2XB0vjIrHWmlnr/cDdEzq+C/We0jWznIXWrOxGr1llgF6Lsh9nn+O0aZXiLB7anNlPN8TN1TB8wU56Td9EwNHLSKvRMPQvKFXbqml93QMuHs3aAjr7C5BddNYOu9FglQE5caozR/1Oyg2B3xhDh1ql+OOl1kzq60NYRDRPf7WNx2dvZdf14jBwKfSYDGf3wOfNYMMnEBeTNYXLDS+AytG0GTCXyaYm9HvKjU2qUbFxLNh6gmlrj3AxIppOD5RiTEdvqueLgOVj4d8lVm2r5xQoVz9zC5MbXwAn5ozNgBqschn9TnI84VGxzNkQzOwNQVyPjuWR+uV5uUMNyp1dA8vGQMR5aDoM2r4OefJnd3FVDqDBKotpsFK5SVhENJ/7H+GbzccBeKpZJYY3LUGxze/DjrlQpCJ0/8xaqVipFDhjsNJrVirLOOr1MkdRLH8e3uheC/+xvvSuV5a5m4JpPXUXk/MO5/qTv4OrB3zbB35+HiIuZndxlcpSGqxUqtgj0Og1/NQpVyQvfo/6sGpUa1pWK8Gnaw7R6vtIvq7zLbEtR8M/P8H0RrDnR10zS+UaGqxUqtgj0Nyr96TWvG5XrWRBZj7VgF+GNadGqYK89cdR2gS2ZFWrH5Gi98HPz8J3feHyiewuqlKZToOVShV7dNO/15ATrXklrV7Foix4rgnzBzemWP48DFl5g85X/8eBuv9Djv8F05vClhnWOlr2pr8glIPQDhbKYWhPxXsTEf74J4SPVx4k6EIEHctF8ZHHPIqeWQ/lGlizuZd6wH4ZOupYB5UiZ+xgkeZgZYyZA9QClonIu8mkKQz8ALgCEUB/IB4Ist0ARojI3pTy0mClVNJi4+L5cccpJq85TMjVG4wr9w9DImbhFn0FWrwMrcda0zdllP6CyJFyfbAyxvQBeorIM8aYr4APRORwEumGAYdFZLUxZgbwB3AK6C8ir6Y2Pw1WSqUsMiaObzYfY7r/UcyNMGaW/JmmV1dC8WrQYwpUbpHdRVTZwBmDVVqvWfkCi2z3VwEtk0okIp+LyGrbQy/gPNAU6G6M2WaMmWOMcUtHeZVSiXi6uzKkdVUCxrXlybb1GHTpPzwd8xph1yJgXldY+pKumaWcQorByhjzhTFmXcINGAGctj0dBqS4noExphlQVES2ANuB9iLSGHAHuiazzxBjTKAxJjA0NDRt/41SuVThvO6M6eTN+nG+VG7cHd+I95kT3434Hd8QP7UR/Ls0u4uoVIakGKxE5HkR8U24AVOAvLanC6S0vzGmGDAV+I9t0x4ROWu7HwhUTybPWSLSUEQaenl5pf4/USodnK2zW8mCnkzo9SC/v9KZfx4YR6/oCRyMyAsLnyT2+yfg6tl7H0QpB5TWZsAd3Gr68wGOJZXIGJMH+BF4TUSO2zbPN8b4GGNcgd7A32kvrlL25azd5SsWz8en/eviN2Ign1aayYcxjxF7cBXRUxoRu/0riI/P7iIqlSZp7WBRCNgA/Al0wboOVQ54XETeSJRuKPA+twLSDGAfsAAwwBIR+d+98tMOFiqz5ZbOboHHwvj697UMODeJ5q77uVC8IcX6z8ClZI3sLprKBM7YwSI9XdeLAh2AABEJyZRS2WiwuiW3fKmqzCMirDtwnl1LpjH4+pfkNTGcqv0i9/V6DePmkd3FU3bkjMEqzTNYiMglEVmU2YFK3c5Zm6tU1jHG0Pb+Urw8dgKbu/zBRtdGVNn7KSc+bMy/29dmd/GUSpFOt5RD5MRViZVjcnExdG5al5avLcO/3mQ8Y6/i/XsfVn8yiIMntQOGckw63ZJSudz1a2Ec/X4ctc/8yCkpwfKKY+ny8NNUKJYvu4um0kmbAZVSTidfwWLUHvIl1x7/Hc+8BRhy8lV2fvYofos3EnotKruL5zycbZxEFtNgpdJEP2/Oq2CNVpQYs43wpmPo5rqVZ/f05+OJbzNp5QGuRsZkd/FyPr3wnCEarFSa6OfNybl5UKDzeNyGbiRfGW8+cplOo43P8thHPzA7IIjImExYhiS30AvPGaLBykllVg1IP2+5RMn78RyyBrp+TAvPIH5hDCErP6b9xD9ZuP0EsXEONKg4p1T377Wgm0qRBqsc6l6fz8yqAennLRdxcYHGz+H64jY8qvsy3v075sa/zryff6fTZwH8sfcsDtFBS6v7uYLOfJ5DJXw+Iek18RJqPloDUhlWuDwM+AH2/Uy1P15lWdwbLIzqzcvf9aBmeS/Gda5Ji2rZ+OtF3+y5gnZdz6F0RguVLa6HwarxsPtbruWryOsxz7L0WjVaVivB2E7e+FQokt0lVDhn13UNVkqptAtaZ62VdekYB8s+zJCQXhy/nocuD5ZmdEdvqpUskN0lzNWcMVjpNSulVNpV8YWhm6HFS3ifXYJ/3nFMq3uCgEPn6fjpel79aQ9nLt/I7lIqJ6LBSjmMnNKpS9nkyQcdJsBza3EpWJruB/7LrhrzGNEwP7/sOo3vx+t4b9l+LkVEZ3dJlRPQYKUchnbqyqHK1oXn/KHDO+Q5tp5Rh55ia8dj9KpTmjkbg2nt58+UPw8TERWb3SVVOZhes1IOQzuNOIGwIFj6MgSvh4rNONb8fT7YHs/KfecoUSAPL7atxoAmFfFwc83ukjo1Z7xmpcFKKQXY8ceCCOxeACtfh5jr0HosuyoO5KPVQWwJCqN80by80qEGveqWw9XF2K386hZnDFZpbgY0xswxxmw2xryRQho3Y8wJY8w62622bfvbxpjtxpjpGSm0Usr+7NYMawzUewJe3A739wD/96i3vBffd3bhm/80pkg+d15Z9DddJ29g9f5zjjGwWDm8NAUrY0wfwFVEmgFVjDHVk0laB/heRHxtt73GmAZAS6AxcN4Y0z5DJVdK2ZXdp9IqUBIe/QoeXwRR1zBfdaL1kYksedaHaY/XIzounue+CeSRGX+xNehixvPTHjpOLa01K19gke3+Kqzgk5SmQHdjzDZbTcwNaAMsFutn1EqgVTrKq5TKJJk2lVaNTjB8CzQeAttm4TKjGd0997JqVGs+6FOb05dv0H/WFp6Zu419Z66kPx/toePUUgxWxpgvEjXlrQNGAKdtT4cBpZLZdTvQXkQaA+5AVyB/avY1xgwxxgQaYwJDQ0PT9M8opRyUR0Ho6geDV1v3F/TD/ZdnGVArL+vHtuW1LjXZdeIy3aZsZOT3uzh2ISLteegsy04tTR0sjDGTsZr3ttiaBGuKyPtJpPMQkSjb/ZFYASseOCsiPxhj6gMviMiQlPLTDhZKOaHYaNj0GQRMhDz5odP74DOAK5GxzAo4ylcbjxETF89jjSswsl11ShbyzO4S5zjawQJ2cKvpzwc4lky6+cYYH2OMK9Ab+DsN+yqVo+ilkjRyywNtxsELm8CrJvw6FOb3pvCNk4ztVJP1Y30Z0LgiP2w7SeuJ/vitOMCVG7r4Y26X1ppVIWAD8CfQBevaVDngcRF5I1G6B4EFgAGWiMj/jDEutn0Dgc5AZxEJTik/rVmpnGDiROtSiZ9f0jPgqxTEx8OOubD6LYiPhbavQ9Nh4OrG8YsRfLL6EL/tPkPhvO4M9a3KwGaVyZtHx2jdizPWrNI8zsoYUxToAASISEga980LdAN2ikjQvdJrsFI5gQ5mtoOrZ2DZGDi4DMr4QM+p1l9g35krfLzyIP4HQylZ0IOX2lenX8MKuLvqBDzJ0WCVxTRYKUekwSmTiMC/S2D5WIi4AM1fhDb/teYgBLYFh+G34gCBxy9RuXg+Rnf0plvtMrjYY2Bxdr+ods7fGYOV/jRRKo20h3QmMQZq9YLhW61BxZsmw4xm1nIkQOP7ivHjC8348umGeLi5MuL7XfSYtpH1h0JTP7A4uQuM2f2iZnf+OYCuFKxUGunCtJksb1GrGbB2P2vNrG96Qd0noeM7mHzFaF+rFG1rlmTJ36eZtOoQA7/aRtMqxRjXuSb1KxZN+djJLbGd3S9qduefA2gzoFI5RHa3VGWLmBuw3s+qZeUrBl0+ggf6WLUwIDo2nh+2n2DKn4e5EB5Nh1qlGNvJmxqlCiZ9vFxyEp2xGVCDlVI5RK7udRiyF5aMgDO7oEZn6DYJCpe/+XREVCxzNwXzxfogwqNj6VOvPKM6VKd80XzZWOjso8Eqi2mwUlklJ/zgzgllzFRxsbDtC1j7LhgXaP9/0HAwuNy69H4pIpoZ648y769jIPBE04oMb1uNEgU8sqvU2UKDVRbTYKWySq6uteQ0l47B76Pg6Foo3xh6ToGS99+W5OyVG0xec5hFgSfJ6+7K4FZVeK7VfRT0dM+eMmcxDVZZTIOVyiq5vtaSBIc+JyKwZyGseA2irkGrV6DVaHC7vQZ1NDScT1YdYtnesxTN587wttV4smklPN2de2CxBqsspsFKqeyTI2qbEResgLV3EZTwtmpZFZvelWzPqctMXHmQDYcvULawJy93qEGfeuVwc9KBxRqsspgGK6Wyj0PXrO50eLXVNHjlJDR6Fh56CzwL3ZXsryMX+GjlQf4+eZlqJQswpqM3nR4ohTHOtWKxBqsspsFKKZVqUeHg/x5smQEFy1g9Bmt2vSuZiLBy3zkmrjzA0dAIfCoU4dVO3jSv5ugROfU0WGUxDVZKqTQ7FQhLRsL5fVCrN3Txg4J3L58XGxfPz7tO89nqQ5y5Ekmr6iUY16kmtcsXzoZC25cGqyymwUoplS5xMdZA4vV+4O4JHd+Dek/eHEycWGRMHN9uOc50/yNcuh5Dt9pleKVjDap6FciGgtuHBqsspsFKKZUhFw5bUzYd3wSVW0GPyVC8apJJr0XGMHtDMF9uCCIqNp5+Dcsz8qHqlCmcN4sLnXEarLKYBiulVIbFx8Oub2DVmxAXBb7/hWYvgmvSY64uhEcxbe0Rvtt6HGMMzzSvzNA2VSmaP08WFzz9NFhlMQ1WSim7uXoWlo+BA79D6drWZLll6yWb/GTYdT5bc5ifd52iQB43nm9Thf+0vI98eRx//m8NVllMg5VSyu72J6yZdd5albjt65Anf7LJD4Zc4+NVB1m9/xwlCngw8qFqPNaoInncHHeMljMGqzSfbWPMHGPMZmPMGymkGWqMWWe77TbGfGGMcTPGnEi0vXbGiq6UymmSW04qS9Xqaa2ZVf9p2DwNPm9mTd2UDO/SBZn9dEMWD21OVa/8vPnbPh76ZB2/7jpNfLzj/th3NmmqWRlj+gA9ReQZY8xXwAcicvge+0wFvgbigf4i8mpq80uqZhUTE8OpU6eIjIxMdbmVUo7hyhW4fBmKFIHCjtBDPDYKrodBfIxVu/IsetvEuEmJjInj6o0YouMEd1dD4bzuDjd90+nTp6O9vLzOZnc50iAe+Cc2NvbZBg0anE8qQVobX32BRbb7q4CWQLLByhhTDiglIoHGmGFAd2NMW2Av8LyIxKYxf06dOkXBggWpXLmy0406V8rZxcTAxYtQvDi4O8qcsvHxEB4C4efBJR4KlbEWgEzh+0VEuHIjhpCrkUTHxpMnjxulC3uS38MxrmfFxcXFPvjgg9lZf02T+Ph4ExoaWiskJORLoGdSaVL8CWFrvktotlsHjABO254OA+4eaXe74cAM2/3tQHsRaQy4A3cPLbfyHGKMCTTGBIaGht71fGRkJMWLF9dA5eBiYiAkxPqrVAJ3dyhd2oECFVg1qUJlwcsbXPPA5eMQFmTVupJhjKFIvjzUKFWQckXyEh0Xz9HQcI5diOBGdFwWFt45uLi4iJeX1xXgwWTTpHQAEXleRHwTbsAUIGHQQYGU9jfGuABtgXW2TXtEJKFaGghUTybPWSLSUEQaenl5JXfslIqd5Y4dO5bdRXA4Fy/CqVPW36wWHBxMejoOBQcHZ0JpVFJOnz5NdHS0XY5lt9fNPS+UqAGFykF0OIQesGpbKbyXXIyheAEPvEsVpHRhTyKiYzl8/honwq4TFet8QWv//v2Z1n/fxcVFSCGmpLWDxQ6spj8AH+BYCmlbAVvl1rfGfGOMjzHGFegN/J3GvB3SRx99xM6dO7O7GA6neHEoX976m9V2797NRx99BKS+hjd//vfMn/9bltUEIyIi+PPPPzl16pRdjhcdHc369es5fDjFS8gO49SpU4wZMybDx9mwYQOff/65HUpkYwwUKAleNQmLiGH174u5cHArxNxIcTcXF0PJgp54lyqIV0EPrt6I4VBIOKcv3SAmLh6AsLAwVq9ezYV09C7JyPslMjLSLFu2rMDevXszvALl4sWLi8ycObNYRo+THmkNVr8CTxljPgH6AcuMMbWMMe8mkbYTEJDo8QRgPrAb2Cwia9JTYEdy7NgxTp48SZ8+fRg8eDDNmjXj3XeTOhW3JJdu2LBhLF269Objc+fO0apVq5uPg4KCeOihh6hbty7vvPNOstsS/PPPP3To0AGAt956C19fX3x9falZsyYffPBBkvvu3LmT9u3b06JFCyZNmpTstpiYGHr06EGLFi346quvAOuXcvny5W/mc/lyKL/8MoMOHazHdevW5fnnn0/yHMyYMePmfimlCw4Oplu3brRq1YrRo0cDEBsbS8WKFW/uv3fvXh5++GFOnz7NsWPH7qrhPfPMM3e9JlevXuXnn5fQtevLXLxona9GjRoxfPjwZF/Hixcv0rdvX3x9fXn66aeJSRTlbty4QZUqVZJNFxMTQ9euXdm8eTM9evRg3759N1+nO/OtW7fuzf9t9erVN7eLCC1atLhZq+/Xrx9//vknzzzzDKtXr2bz5s0392vTpg01a9a8ue/ChQtvnr/k0g0dOpQWLVrQtm1bLl++nGy+s2fPpl69egwYMODmORgxYgQPPfQQzZs3v63VIXG+TZo0oXTp0mzevDnZc5xYUq9bfHw8n376Ke+//z4AcXFxdOnS5Z4tHdevX6du3bp3bT937hz16lnjri5du073p0ey7cAp2j78FKEHNhO8Zwvduna97f2XIOHz6+bqgmd8JGOffYwne7Tl5RHDOBhyjQPHz9Cte3e2bdtG27ZtCQ0NTfK9+8svv9x83LRpUzp16pTs++XO90bi13LgwIGe99133wMA3bt3r7J69epCAwcOvO+XX34pBPDEE09UrF+/fs0mTZrUuHDhgitYn6XWrVtXP3jw4M3a07Vr11xq1qxZK+Hx+PHjzy9fvrzwpUuX0tVvv1+/fpXq1q1bc9y4cWXSvLOIpOkGFMUKVKXTum9abw0aNJA77d+//65t2WXChAmyf/9+Wbx4sQwcOFBERAYNGiSHDh1KMn1y6QICAuThhx++mS4sLEw6deok9erVu7lt1KhRsnHjRhERadGihZw/fz7JbSIi8fHx0qFDB2nTps1dZXjkkUfk1KlTSe7bvHlzOXHihMTHx0uzZs0kKCgoyW2TJk2St956S0REunTpIlevXpXFixfL559/nuy5evHFF2X79u33PFcppevbt69s3rxZRET69esn/v7+smPHDhk3btxd+e3fv18mTJgg0dEiZ8+KREdb2xOOmdg333wjS5f+IWfPimzZEijt2rWT+Ph4+b//+z9ZvXp1kv/P2LFj5fvvvxcRkXHjxsncuXNvPvf666+Lp6dnsun++ecfWbp0qYiITJ06VWbOnCmBgXfne+HCBenfv3+S+c+aNUs8PT0lODhYzp49ezP/pUuXyn//+9/b0i5atEgmTZokIiIXL16UBg0ayLVr1+46ZkK6v//+W5599lkREfniiy9k4sSJSeZ7+vRp8fHxkcjISJk3b57Mnj1bduzYIRMmTBARkR9++EFGjRqVbL6XL1+WF154Icn/705JvW4BAQEyY8aMm4+feuopqVWrlgQHByd7nNjYWOnWrZtUqlTprueefPJJ8fb2FhGRdevW3XyvjR41Slb8+LX07d5BNi9bIBJ57eb7L6EciT+/kydPlm+//VZERPr1f0yWrt4gcxb9Lt8tWS1hEVEyevRoWbFiRbLv3QR+fn6yePHiJN8vKb03bPtGvvXWWyePHz++e/LkycEiErhgwYLDw4YNO7tly5Z9/fv3DxWRwIkTJx4bP378SREJ7N2794WqVaveOHDgwB4RCYyJiQn09fW9XLZs2SgRCUy4LVy48NC0adOCEm+78zZgwIDQRo0aXUu4jR49+vS8efOO9OnT54KIBD766KMX9uzZs/fO/Xbv3n1MkokHaY6OInJJRBaJSEiaI6OTOXr0KPfffz/r1q2jX79+AHTs2JGNGzcmmT6pdDExMTz33HNUrlyZ3377DQBXV1cWLlxIoUK31uMpXrw4e/bs4dy5c0RFRVGkSJEktwHMnTuXtm3b3pX/9u3bKV++POXKlbu576lT5wgPjyJ//iKEhYVRoUIFjDEUL16cq1evJrkt8f/RunVrAgMD2bJlC19++SX169fn9ddfvy3f06dPc+7cORo2bJjiubpXukOHDlG/fn0ASpYsyZUrV9iyZQu///47jRs3ZvDgwcTGWh1M77//foKCgm5e0P/ggwn4+vqyYsUKfH19b9bewKo9tmjRhNKlYdOm9TzyyCMYY+jUqRMbNmxI8rVMqiwABw4cYM+ePTRp0iTZdA888ADdu3dn165d/PLLL3Ts2JH16+/Od+vWrWzbto3mzZvTu3dvrl27BsCFCxf49ttv6dOnDwClS5fmmWee4dChQ8yePZtevXrdVtaZM2ferK2NHTuWChUq8P3333Pjxo0k0xUpUoSjR48SHh7Onj17qFGjRpL5btmyhY4dO+Lh4XGzzPXr12f8+PEAhIaGUrJkyWTzLVy48G1DUC5fvkyDBg24ceMGw4YN4+eff2bWrFm3vW6J/7edO3fePM8A7733Ho0aNUry9Ups1qxZVK5c+bZta9euJX/+/JQuXRqANm3a0LRpUwICAtgWGEizjr05dCKE+rXvh4uHKVk4L1cuhSX5+S1evDj//PMPly9f5szpUzSqXZ0BvTrRrFkztmzayLZt26z7ybx3waqdr1q1ij59+iT5fknuvZHgxx9/dH/11VfPV6xYMXbkyJEX9+zZ4/Hll1+W6NOnz+VixYrFHTt2zOPKlSsue/bsyeft7R0JMHHixNM+Pj4RiY8zd+7c4+XKlbvt4mLbtm0jdu3alS/h8ahRo8rOmjWrKMArr7xSdtasWUUXLFhwfNu2bQcTbh9//PFZf3//gv369bsE0KFDhytr165N00zBjtHPMp3eXrqP/Weu2vWYtcoW4q0eD6Rpn4iICMqVKwdAsWLFkr2GlVS6b775hlq1ajFu3DimTp3KiRMnGDFixF37du7cmSlTpnDq1CnatWuHm5tbktsuXrzIt99+y8qVK1m5cuVtx5g8eTJvv/32bcc7cOAUPj7tuHLFjRYtWjBt2jSKFSvGsWPHqFOnTpLb7vw/zp07R5cuXRg/fjz58uWjffv27Nmzhzp16gAwffp0hg4des9zda90jz76KG+//TZNmzZlxYoVfPDBB/z777+sWbOGMmXK8PTTT7N8+Y3ZwZgAABUrSURBVHJ69rR6vkqiC+Nvvvkmb775Js888wzz5s277bzcuHGDfPny3cy3atWqt/1vSXnkkUf48MMPGTBgAHPmzGH58uUAjBkzhqlTpzJo0KAU0wEsXbqU+Ph4ChYsmGS+VapUYeXKlVSvXp0333yTuXPnMnLkSF599VU+/PBDvvjii9vKtHbtWs6fP38zQACsWrWKli1b4uHhweHDhwkICGDFihX8+++/PPXUU/z00093pStdujSVKlVi6tSphISE3AwAd+ab1PsgwaVLl5g1axbr1q1LMd/Er1GRIkUYMWIEL730EiEhITeD4pAhQ+75ugFUqFAhydcqMVdXV8qWLXvbtujoaN555x1++eUXevfufXO7iLBw4UKKFi2Ku7v7/7d37lFRHHse/5aAkQA+WI26AYRoFBFEo+hoBIl6cVWuWRRWoxgSmRiMqJHrEz3EZzDGk6NE12Q1Jhd8R4wa2Gg0ykPjkqCIGIO5d4EoKgsiiMqYyMxv/ximHaAbZmBm6JH6nNOHoebXVd+uru6a6q76/RAa9h9Ys+MgFAP74cSpM4hf9h4Sd33W4PqdPHkyUlNTkZCQgP79+8PZ2Rl2drZw/xcbbD6aLOTn5+cn2XaTkpIwY8aMOjr124tU29Cdy8GDB6vt7e2Fyj1x4kTH8vJyu549ez5xdXV94uLi8ufGjRtfKC0ttR01alQ1APTp06fOG1tbW1u4u7s3eIvr4OCgUalUwkBHqVSWz58/33XOnDkVZ86c6bh27VrR9V3V1dXt3Nzc/gSArl27qrOzs416hyZffyFWgL29PR4+fAhHR0fh1+LDhw+h0WhE7cXscnJyMGfOHPTo0QPh4eE4e/as6L4bN27EV199hQ0bNkClUuHUqVOiacuXL0d8fDzs6s0NrqysRGlpqXBD1O27efMG2NmpkJNzCp9//jk8PT2xbds2LFu2DIwx0TSx4xg5ciScnJxgY2ODwYMHCy/6NRoNzp49i8DAQMk6MNRu1apVmDBhAnbt2oWIiAg4Ojpi4MCB6NlT+/h76NChQrkPHz6Evb1h3rLd3NyEGWWGnstZs2YhOjoaBw8exMiRI+Hu7o7ExESMHj0aHh4ejdrpiIuLQ3h4OL744gvRcl966SX06dOnzrFlZGTA3t4eI0aMaKApKioK69evx8cffyyk7d69GxEREQCA3NxcTJ06Fb1790ZwcDCuXr0qanfgwAGEhIRgxYoViI2Nxd/+9jfRcqXqiogQGRmJ9evXw9nZWbJcImpQvzNnzsThw4frjHyl0D9vLWHjxo147733hCcTOhhj2L59OwYOHIjjx49r29/ESdi1/xtEvPUWHJ06Iuenc5jzxl/Ro5uzcP2uWbMGn332GeLi4uDp6Ykvv/xSND+ptgsA+/fvR1hYWB09+u1FrG3o2L17N15//fU6a1iXLl1atmbNmlsbNmzosWvXLueQkJCK+Pj4klWrVpVER0e7GFNf+fn5z7m6ugqjrQEDBvzx6NGjdikpKU6enp4qR0dHmjFjRq9hw4b1022LFy/u6eDgoKmurm4HaN+FSV1bUlh1Z/XBXwfg4LsjTLoZM6qaOHEikpOTMWTIEOFxVm5uboNHDDrE7Pr06YOCggIAQHZ2Nnr16iW6b2FhIW7evInHjx/j0qVLYIyJpqWnp2PZsmUIDAzE5cuXsWqV1ivWsWPHMHHixAb5qdWPkZ9/CXZ2DDY2NujXrx8A7U0DgGia2HGMHz8ed+7cQXV1Nb7//nt4e2uXS2RmZmL48OHCcgOpujLUbtCgQbhx4wZiYmIAaDuD3NxcqNVqHD16FL6+vgCAw4cP1zleHfV/nQNAcHAwDh482Gi5YgwaNAhXr17F2rVrAQAnTpzA8ePHhboPDg4WtTt48KAwqaWyshKdO3cWLXflypXCpJvDhw/D19cXKSkpuHjxovBobPr06cjMzIRSqayTH6Adedy4cUOY7KHf1goLC+Hk5CRqV1FRgby8PADA+fPnwRgTLVeqrmJjY+Hj44PJkyfjyROgc+c++Oc/G5abnp7e4LHd1q1b8c4772Dz5s11OjKx8xYUFIRvvvlG8vwYyunTp7F9+3bhvCmVSnz00UdITEwEULdOhfa3ZDnQrS/69BuAgn/8AyjNR/b5s+jl5ibUn1qtRlZWFhhjovlJtd2ioiJ06tQJjo7ap2Ri7UWsbQBPz6WbmxvVHpvDtGnTegFARUWFTefOndUVFRU2V65csa89B47GLgXau3dvl5CQkPv6aaGhofeioqLc33rrrXIAEHsMOGTIkOr09HRHALh8+fLz7u7uxq1dkHqZJYdN7hMsNBoNhYWF0e+//04DBw6kRYsWkaenJ1VWVtIvv/xCK1eurGN///79BnZVVVUUGhpK/v7+pFAoqLi4WLDXnyCRkpJCHh4e5OjoSNOnT6eamhrRNH3093/jjTfo4sWLjeZHRPTmm29SRkZGnXzqpxUVFZGXlxctWLCAhg4dSjU1NXTmzBnq168f+fj40KeffirYrlixgpKTkxutA2Ps4uLiKDExUbDLy8sjHx8f8vb2ptjYWCIiKi0tpbCwMNJoNGKnTRSlUknXr18ntVpNI0eOpAULFlDfvn2poKCAysvLKTIyssE+u3fvFiYT1Ee/7uvb/fHHHzRlyhTy9/enadOmkUqlEi339u3bNGzYMBowYAAplUr6UzdLpJaIiAhhMkFUVBSNGDGCJk2aRGVlZUREdPLkSZo/f36dfWJjY2nUqFHk7e1NP/zwg6jd3bt3acyYMeTo6EheXl505coVyXKnTp1KSqWSvL296ccff6Rr165Ru3btKCAggEaPHk3R0cvp55+JFix4Wu7Jkz9QQUE1vf56CKlUKiHfoqIiUigUVFNTQ+vWraMtW7aI1q0+K1eurNM29bVJnTciEp18pJ9+7949GjduHPn7+9PcuXOFtlS//VVVVVHo1BDyVwwlxSs+VHwlg7LOZ5CXlxc5ODjQuHHj6MGDB6L5ibVdIu2kFt2EGCLx9iLVNnTnMi8v7xHVTlqYMWNG6aBBgx4GBgZW3r59+/KdO3dyFApF1fPPP6/u3bu3Kisr6xed7ZQpU+7qJljoNj8/vwe6z7m5uXnTp08vo3oTI+7cuZPj4uLyWK1WS066KC8vv9S3b9/qyMjIEg8PD9Xdu3dz6ts0NsHC6ryu//rrr+jfv38rKWpIcXExMjIyMGHCBJw6dQoBAQHCS1oxKioqDLKTO7dv38a5c+cwfvx4dDLSyZuhddDcutq3bx/8/f0Neoeho6qqCvv27UNUVBRUKhVSU1PxyiuvCKMNS9Ba5bYEtVqNlJQU9O7dWxhN6yPmXqmkBPj665Po3787xo1rOIXcGJ48eYJt27Zh0aJFLcqnxRAB1eVA1W2ANIBTD+16LdY6D6+uXr1a7e3t/aup8920aVM3pVJZ7uzsLAx7s7OzO7z99tses2fPLlu0aFGji8jKyspsjh071jEoKOiBm5tbA3d7ubm5XX19fd3F9uWdFYfDsSiy9A9oKtRPgPvFwONKwLYD0Nmt0fAj5sJcnZW5aayzsup3VhwOx3KYyt+jLP0DmgobO8DZA+jiAWjUwN3ftJ2X5tlzvWRprHrqOofDsRw6byCAtrPhNIJ9Z+A5R2104kdlwOP7QCdXoEPHpvfliMI7Kw6HYxA6P4+t4e/RKmlnC3R21YYbuX8DuPe/gFNP7fssjtHwzorD4RiE7vEdx0iecwS6eQIP/g/oIIeIk9YJf2dlAsQcZ+rWs5gir5bkV58///wTt27dEv3OVGW0RXj8LvNj1XXM2mmDOtoZtlCd0xDeWbUQqRAh3377Lfbt22eSvACtZ/KMjAzR74xhyZIluHnzpuh3q1evxvXr11tcRlukNeN3tRV4HbdteGeF5v9iayxEyMKFC5GamtrAwSQgHu5APy+gYYiQ+Ph4JCQkSLr/ESuj/nFduHABL7zwAhQKBQDtMgB9x6AJCQkNQo0YSmVlJQICAvDqq6/iu+++a1Ye1kxrxu9qK/A6btvwzgrN/8WWlJSEefPm4ciRI1Cr1bhw4QIKCgoEP13h4eE4evSoUXkB2sWwERERePToqQNkW1tbjB07FufPnzdYX/3jSkxMRHR0NACtx/glS5YI3sIBrSNRFxcX3LhxQzJPlUolxMzRbcePH0dcXBxmz56NjIwMbNq0qVmReq2ZZ3o6tkzgddy2se4JFt8tB0ryWpzNCwQ4PwFsrwDo6QNM2GjQfroQITt27GgQzuLll1+GQqHAunXrMGvWLADaAG3Xrl1Dfn6+EOxO5wVdlxfwNERI/VAPCoUCmZmZwohr7969yMnJwerVqxEQEID09HRERETg3r17yM/PR2FhICZOnIaYGK0nc5VKJXibcHJyQnJyMsaPH1+njOHDh+Py5ctwc3MDALz22mvYs2cPXnzxRYwdOxaJiYlIS0trUBdxcXH48MMPBV+CRUVFdRy6ctoGz/SCX06rYt2dlYlox4D27Zu2k0Iq7IW9vX2dmEG68Nti4Q700Y9jpU/9/GbOnImkpCQsXLgQy5Ytg5OTE44cOWJQGfphJOqXoT/aCg8Px4EDBzBz5ky0b99eOM762NraCo43deEieGfV9mhra7F452w5mtVZMca6AzhMRP6N2NgBOALAGcAXRLRbLK055QsYOAIyF02FCCksLDTYP51+XlKI5adUKjFv3jzs3LmzyTI0Go3WIWQjXpYLCwsFD84AEBYWhkmTJqF9+/YIDw+HSqXChAkT6uwTExMDGxsb4f/GQmtwnm3a2lqsttY5tyZGv7NijHUB8HcATTm8mg/gIhG9CiCUMeYkkWa1NBUi5NChQ0KYCH3ERjy6vBrj6NGjCAoKEv6vqalBQkICZs2ahe3btzdZhp+fX5MzCtPS0upEX+3YsSNcXV2xc+dOhISEwN7eHmlpaXW2yZMnY8CAAdD5cczNzZUMdcJ5tmlr75X4pA/L0ZwJFmoA0wA0FaI3EMCh2s8ZAIZKpFktwcHBSE1NRWBgIJKSkhATE4NDhw5h0qRJ+O2333Dr1i0hWq6heZWWlop+f+7cOXTr1g1du3YV0rZs2YLg4GDEx8djz549KNb9xJNAqVRi69atqK6uFv1+//79GDNmTJ1REgCEhoZiyJAhdaKy1mfu3LmIjIzEnDlz4OTkJPm4kMNpCmtaT9XWOufWpMnOijH2OWMsTbcBeJ+I7je1H7QjL93q03sAukuk1S9vDmMsmzGWXVZWZsgxtBqMMXzyySc4d+4c0tLSoFAocPbsWXTq1AlnzpzB5s2bjc7r9OnTQpr+RIaffvoJH3zwQZ19Fi9ejKVLl8LOzg5ZWVlwcWk84Ke9vT1Wr16NzMxM0TJu3rzZIELrnj17sGHDBrz//vuN5u3n54fk5GQEBQU1OULkcBqDr6fiiNHsECGMsTQiCmzk+2MA3iWiEsZYDIASaEdkddKISHLlLA8RwuG0PfikhZbDQ4QYx0UAo2o/+wIokkjjcDgcAf5ojSOGSaauM8bGAPAiom16yX8H8N+MMX8AXgCyoH0EWD/NaJqa0cbhcDgc60Kj0TAAktOImz2y0n8ESERn6nVUIKLfAfwFwHkA44hILZZmbLkdOnRAeXl5m/OQwOFwOM8qGo2GlZWVdQJwVcrGrIuCieg2ns7+k0wzBhcXFxQXF0Puky84HA6ntSgpKbFVq9Vdm7aUDRoAV2tqapRSBlbnwcLOzo57RuBwOJxG8PLyyiMiq14aVB/uyJbD4XA4sod3VhwOh8ORPbyz4nA4HI7safaiYEvAGCsD8HsLsugK4K6J5JgSueoC5KtNrroA+WqTqy6Aa2sOxujqRUTdzCnG0si6s2opjLFsOb5klKsuQL7a5KoLkK82ueoCuLbmIFddloI/BuRwOByO7OGdFYfD4XBkz7PeWf1XawuQQK66APlqk6suQL7a5KoL4Nqag1x1WYRn+p0Vh8PhcJ4NnvWRFYfD4XCeAay6s2KMdWeMZTZhY8cY+5Yxdp4xNlsqzQzavmCMXWCMrWrEZq5eYMvLtYEubRljN/TSfVpBl6gGxtgaxtjPjLHtptRkpLZOjLHvGGPfM8a+YYy1N2edGaipgY0h+5lbm6XryghdrdK+DNRm8WtSr+xG72etdS+TC1bbWTHGukAbhsShCdP5AC4S0asAQhljThJpptQ2BYANEY0A8BJj7GUxOyLaQUSBtR7sMwHsBDAQwH5dOhHlWVqXmAbG2BBoY5ENA1DKGBtnKl1GapsJ4BMiCoI2oOe/iem1lCYxGyOOxazaYMG6MlKXxduXodosfU3qaTPkfmbxe5mcsNrOCoAa2sjDVU3YBeKpl/cMAEMl0kyJfv7f42nASVEYYy8C6E5E2QAUAIIZYz/V/go0pbNhQ3WJaRgNIJm0LzlPAvA3oS6DtRHRfxLRqdp/uwEoldBrKU1iNobsZ3ZtFq4rg3VJaDB3+zJUGwCLXpM6DLmfBcLy9zLZYDWdVe1wXDcMTwPwPhHdN2BXB2iDPgLAPQDdJdJMqW2+kfnPA7Cj9vPP0Mb6GgbADsDEVtAlpkFWdcYYGwGgCxH9j4ReU2DIMZu9fbVAGwCL1ZUxuszevlqgTYdZrkkpiKjKgPtZa7U1WWA1IUKI6N1m7voQgD2A+wAca/8XSzOZNsbY1tr8UZu/5I8Cxlg7AK8BWFmbdIWI/qj9nA2g2Y+QWqBLTIOuzpra19zawBhzBvApgKmN6DUFhhyzmI1J66oF2ixZV8boMnv7aoE2s16TLcTs9zI5YzUjqxZwEU+H+74AiiTSzF2mFP4AsujpGoIkxpgvY8wGwL8DyG0FXWIaZFFnjLH2AL4GsKI28rSUXktpao32ZZA2C9eVwbokNMiizmqx5DVpDK3V1uQBEVn1BiBN7/MYANH1vu8F4BcAW6EdztuIpZlYU0doG/QnAH4F0AmAF4D1IrYfApii9783gCsA8gBsaA1dYhqg/WFzvrbOrgPwaCVtcwFUAEir3aaZq85ENPmK6BHT3SDNDO3eEG0WqysjdVm8fRmqrdbOYtekSNlptX9lcS+T09YmFgUzxv4V2l8fJ6n2ubBYmonL7ALgLwAyiKjE1Pk3l5boYozZA5gE4BIRFchJm7kwRJOYjSWORY71BTRfl7nbV0u0yYXWuJfJhTbRWXE4HA7HumkL76w4HA6HY+XwzorD4XA4sod3VhwOh8ORPbyz4nA4HI7s4Z0Vh8PhcGQP76w4HA6HI3v+H/Ix4T8o+VbmAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n为0.01时错误率为0.0089\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n为0.001时错误率为0.0468\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# -*- coding: utf-8 -*-\n",
    "\"\"\"\n",
    "Created on Tue Feb 12 13:02:55 2019\n",
    "\n",
    "@author: qinzhen\n",
    "\"\"\"\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import helper as hlp\n",
    "plt.rcParams['font.sans-serif']=['SimHei'] #用来正常显示中文标签\n",
    "plt.rcParams['axes.unicode_minus']=False #用来正常显示负号\n",
    "\n",
    "def Adaline(n1, n2, d, rnd, eta, w0, iteration=1000):\n",
    "    \"\"\"\n",
    "    生成n1+n2个d维点（不包括偏置项1），n1个点作为训练数据，n2个点作为测试数据，\n",
    "    x1+...+xd>=t的点标记为+1，x1+...+xd<=-t的点标记为-1，\n",
    "    w0为分界线的法向量，w0=[0] + [1] * d，这里d = 2\n",
    "    \"\"\"\n",
    "    #生成数据\n",
    "    X_train, y_train = hlp.data(n1, d, rnd)\n",
    "    X_test, y_test = hlp.data(n2, d, rnd)\n",
    "    \n",
    "    #记录次数\n",
    "    T = 0\n",
    "    w = np.zeros(d + 1)\n",
    "    #print(X_train.dot(w) * y_train)\n",
    "    while(hlp.Judge(X_train, y_train, w)==False and T < iteration):\n",
    "        i = np.random.randint(0, n1)\n",
    "        s = X_train[i, :].dot(w)\n",
    "        a = s * y_train[i]\n",
    "        if a <= 1:\n",
    "            w += eta * (y_train[i] - s) * X_train[i, :]\n",
    "            T += 1\n",
    "    \n",
    "    #计算错误率\n",
    "    num = np.sum(X_test.dot(w) * y_test <= 0)\n",
    "    \n",
    "    print(\"n为\"+str(eta)+\"时错误率为\"+str(num / n2))\n",
    "    \n",
    "    #直线方程为w0+w1*x+w2*y=0,根据此生成点\n",
    "    X3 = np.arange(-1, 1, 0.1)\n",
    "    Y3 = np.array([(X3[i]*w[1]+w[0])/(-w[2]) for i in range(len(X3))])\n",
    "\n",
    "    #目标函数\n",
    "    X4 = np.arange(-1, 1, 0.1)\n",
    "    Y4 = np.array([(X3[i]*w0[1]+w0[0])/(-w0[2]) for i in range(len(X4))])\n",
    "\n",
    "    #画出图片\n",
    "    plt.scatter(X_train[y_train == 1][:, 1], X_train[y_train == 1][:, 2], c='r', s=1)\n",
    "    plt.scatter(X_train[y_train == -1][:, 1], X_train[y_train == -1][:, 2], c='b', s=1)\n",
    "    plt.plot(X3, Y3, label=\"(\"+str(w[0])+\")+(\"+str(w[1])+\")x+(\"+str(w[2])+\")y=0\")\n",
    "    plt.plot(X4, Y4, label=\"(\"+str(w0[0])+\")+(\"+str(w0[1])+\")x+(\"+str(w0[2])+\")y=0\")\n",
    "    plt.title(u\"经过\"+str(T)+u\"次迭代\")\n",
    "    #设置坐标范围\n",
    "    #plt.xticks(np.arange(0,10))\n",
    "    #plt.yticks(np.arange(0,10))\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "\n",
    "#设置随机种子，保证每次结果一致\n",
    "seed = 42\n",
    "rnd = np.random.RandomState(seed)  \n",
    "Eta = [1, 0.1, 0.01, 0.001]\n",
    "for eta in Eta:\n",
    "    Adaline(100, 10000, 2, rnd, eta, [0, 1, 1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Problem 1.7 (Page 36)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# -*- coding: utf-8 -*-\n",
    "\"\"\"\n",
    "Created on Tue Feb 12 11:03:25 2019\n",
    "\n",
    "@author: qinzhen\n",
    "\"\"\"\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.special import comb\n",
    "plt.rcParams['font.sans-serif']=['SimHei'] #用来正常显示中文标签\n",
    "plt.rcParams['axes.unicode_minus']=False #用来正常显示负号\n",
    "\n",
    "def Pmax(N, x, u):\n",
    "    low = int(3 - 6*x)\n",
    "    up = int(3 + 6*x)\n",
    "    s = 0\n",
    "    for k in range(low, up+1):\n",
    "        s += comb(N, k) * (u ** k) * ((1 - u) ** (N - k))\n",
    "    return 1 - s ** 2\n",
    "\n",
    "x=np.arange(0, 1, 0.01)\n",
    "y1=np.array([Pmax(6, i, 0.5) for i in x])\n",
    "y2=np.array([2 * np.exp(-2 * 6 * (i ** 2)) for i in x])\n",
    "\n",
    "plt.plot(x, y1, label=\"Pmax\")\n",
    "plt.plot(x, y2, label=\"Hoeffding\")\n",
    "plt.xlabel(\"eplison\")\n",
    "plt.ylabel(\"P\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
